document.write( "Question 31665: How do you graph linear inequalities with two variables? (x and y) \n" ); document.write( "
Algebra.Com's Answer #18301 by benni1013(206)![]() ![]() ![]() You can put this solution on YOUR website! Ex. 4x+3y<12\r \n" ); document.write( "\n" ); document.write( "First: Set the equation to the form y=mx+b. \n" ); document.write( "Note: Don't worry about the sign until toward the end. \n" ); document.write( "4x+3y=12==>3y=12-4x==>y=12-4/3(x)==>y=-4/3(x)+12\r \n" ); document.write( "\n" ); document.write( "Second: Plot the y-intercept \n" ); document.write( "The y-intercept is the last number (12).\r \n" ); document.write( "\n" ); document.write( "Third: Graph a second point \n" ); document.write( "Your -4/3 is your slope. Since slope is y/x go down 4 and right 3.\r \n" ); document.write( "\n" ); document.write( "Now we can refer back to the inequality sign in the problem. Four signs occur commonly: less than, greater than, less than or equal to, greater than or equal to\r \n" ); document.write( "\n" ); document.write( "A dashed line or solid line will go through the points and filled either to the left or right. \n" ); document.write( "Less than: dashed, left \n" ); document.write( "Greater than: dashed, right \n" ); document.write( "Less than or equal to: solid, left \n" ); document.write( "Greater than or equal to: solid, right\r \n" ); document.write( "\n" ); document.write( "In your case, dashed and to the left. \n" ); document.write( " |